Azimuthal spectrum after parametric down-conversion with radial degrees of freedom

Yingwen Zhang; Filippus S. Roux; Melanie McLaren; Andrew Forbes

doi:10.1117/12.2063222

8 October 2014 Azimuthal spectrum after parametric down-conversion with radial degrees of freedom

Yingwen Zhang, Filippus S. Roux, Melanie McLaren, Andrew Forbes

Proceedings Volume 9225, Quantum Communications and Quantum Imaging XII; 92250D (2014) https://doi.org/10.1117/12.2063222
Event: SPIE Optical Engineering + Applications, 2014, San Diego, California, United States

Abstract

Considering the quantum state produced in type I spontaneous parametric down-conversion with collinear, degenerate signal and idler beams, and a Gaussian pump, we show that the azimuthal Schmidt number in the Laguerre-Gaussian (LG) basis increases when the radial indices of the LG modes detected in the signal and idler beams are different. These observations are confirmed by the good agreement between theoretical and experimental results. The theoretical results are obtained by deriving expressions for the probability amplitude to detect LG modes with any combination of azimuthal and radial indices in a down-converted photonic quantum state.

Citation Download Citation

Yingwen Zhang, Filippus S. Roux, Melanie McLaren, and Andrew Forbes "Azimuthal spectrum after parametric down-conversion with radial degrees of freedom", Proc. SPIE 9225, Quantum Communications and Quantum Imaging XII, 92250D (8 October 2014); https://doi.org/10.1117/12.2063222

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